We investigate initially the influence of thermomechanical and momentum exchange noise on the limit to mass sensitivity Delta m of nanoresonators with random rough surfaces, which are characterized by the roughness amplitude w, the correlation length xi, and the roughness exponent 0 <H <1. In fact, Delta m increases with increasing roughness (decreasing H and/or increasing ratio w/xi) if the quality factor associated with thermomechanical noise is larger than that due to momentum exchange noise. Finally, the influence of adsorption-desorption noise, which is also influenced by the surface morphology, is shown to play a minimal role in the presence of the other two noise sources